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Belief Revision: The Resubsumption Theory     341

            not contradictions between beliefs on the one hand, and data, observations
            or experiences, on the other. Instead, a cognitive conflict is a three-way rela-
            tion between a background theory that subsumes two contending theories for
            some domain, where “theory” refers to informal, perhaps implicitly held belief
            systems. A background theory is itself a belief system and hence changeable.
               This analysis of cognitive conflict implies that there are three ways for a
            conflict to be resolved. Local coherence can be restored by changing the truth
            value of the contender theory to false; this is resistance. Alternatively, it can
            be restored by altering the truth value of the resident theory; this is conver-
            sion. The third possibility is to revise the background theory in such a way that
            the two theories are seen as compatible. For example, we do not believe that a
            person can be both a human and a wolf, because in the post-genomic era, we
            do not believe that living tissue can morph drastically in a short period of time.
            In medieval times, thinking with a different background theory, we shuttered
            our windows against werewolfs. 17
               The third type of resolution is clearly visible in science. One of the pecu-
            liarities of quantum physics is that it does not assert material incompatibili-
            ties where 19th-century physicists expected them: A particle can have both a
            certain spin and its opposite; a radioactive atom can both have and have not
            decayed; photons can behave like both particles and waves; and so on. Physicists
            have proven that these compatibilities are real by exploiting them for practical
            purposes, as in quantum computers. In this case, the incompatibilities were
            resolved by revising the relevant background theory to say that something can
            be both; for example, quantum physicists found a mathematical representa-
            tion that has both a particle and a wave description of elementary particles as
            special cases. Abandoning the commonsense background theory that implied
            these incompatibilities caused a major philosophical debate among physicists
            and philosophers of science about the nature of physics in the first half of the
            20th century.  Similarly, some Christian biologists try to reconcile their reli-
                       18
            gious beliefs with their scientific practices by saying, for example, that natural
            selection is God’s way of creating biological species. In this case the relevant
            background theory is the traditional reading of the Book of Genesis in the
            Bible  as  referring  to  instantaneous  creation.   The  philosophical  heartaches
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            that cases like these have caused Western intellectuals indicates that this third
            type of conflict resolution is uncommon.
               A  theory  of  belief  formation  should  explain  the  origin  of  cognitive
            conflicts. Why, how and when does the type of mental state that requires a
            choice between incompatible beliefs arise? In particular, a satisfactory theory
            must explain why nascent conflicts are not dealt with through the resistance
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